x/3-6/x=1

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Solution for x/3-6/x=1 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x/3-(6/x) = 1 // - 1

x/3-(6/x)-1 = 0

x/3-6*x^-1-1 = 0

1/3*x^1-6*x^-1-1*x^0 = 0

(1/3*x^2-1*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1/3*x^2-1*x^1-6*x^0) = 0

x^1

(1/3)*x^2-x-6 = 0

(1/3)*x^2-x-6 = 0

DELTA = (-1)^2-(-6*4*(1/3))

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(2*(1/3)) or x = (1-9^(1/2))/(2*(1/3))

x = 6 or x = -3

x in { -3, 6} 

x in { -3, 6 }

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